Calculating Displacement in Two-Dimensional Motion

[Gamegoofs2]

I'm having trouble with adding two-dimensional motion. Here's an example of the type of problem I'm having trouble with:

A map gives you the following directions:

Travel 45 mintues at a speed of 1.2 m/sec and a heading of 45 degrees. Turn to a heading of 330 degrees and travel at the same speed for 32 minutes.
What will your displacement be if you follow these directions?

I was taught to use this equation:
$$\Delta$$x = initial velocity * time + 1/2 * acceleration * time^2
and
A_x= initial velocity * cos()
A_y= initial velocity * sin()
and the same for the the second vector.

I started out with trying to find the first vector or vector A as I called it.
$$\Delta$$x= 1.2 m/sec(2700 sec) + 1/2 (0)(2700 sec)^2
and got $$\Delta$$x=3240m which I thought was a bit high, so I don't know if I'm doing something wrong or if it should really be that high.

 

[tiny-tim]

Welcome to PF!

Hi Gamegoofs! Welcome to PF!

(have a delta: ∆ )

Travel 45 mintues at a speed of 1.2 m/sec and a heading of 45 degrees.
…
I started out with trying to find the first vector or vector A as I called it.
$$\Delta$$x= 1.2 m/sec(2700 sec) + 1/2 (0)(2700 sec)^2
and got $$\Delta$$x=3240m which I thought was a bit high, so I don't know if I'm doing something wrong or if it should really be that high.

No, that's ok …

and it's not high, it's only 3km after nearly an hour!

 

[Gamegoofs2]

Thanks so much!